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Finding the Fourth Proportional to 46.42, 64.34 and 45.65

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Solution

The fourth proportional to 46.42, 64.34 and 45.65 is: 63.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 64.34 = 45.65 : x
  2. Step 2: Convert to fraction form
    46.42/64.34 = 45.65/x
  3. Step 3: Cross multiply
    46.42x = 64.34 × 45.65
  4. Step 4: Simplify right side
    46.42x = 2,937.12
  5. Step 5: Solve for x
    x = 2,937.12/46.42
  6. Step 6: Final answer
    x = 63.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.